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GRADES 6–12 · PREMIUM SCHOOL MATH 1:1
2025-12-11, 03:13:10 STARPREP.COM	추천수 : 0 \| 조회수 : 13

IP : 172.XXXX.215.112

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<div style="margin-bottom: 6px; letter-spacing: .08em; text-transform: uppercase; opacity: .9;">STARPREP® · Grades 6–12 · Premium School Math 1:1</div>
<h1 style="margin: 0 0 10px 0; font-size: 26px; line-height: 1.24;">Premium School Math 1:1 Program — Grades 6–12 <span style="display: block; margin-top: 6px; color: #ffe8b3; font-size: 15px; opacity: .95;"> From top of the class in school math to AP, Digital SAT, AMC/AIME, and early university‑level readiness </span></h1>
<div style="display: inline-block; margin: 6px 0 12px 0; padding: 8px 12px; border: 1px solid rgba(255,255,255,.45); border-radius: 999px; background: rgba(255,255,255,.12); font-weight: 800;">In School, Math Must Be the #1 Subject</div>
<p style="margin: 0 0 10px 0; opacity: .98;">STARPREP’s Premium School Math 1:1 Program is a <strong>long‑horizon pathway from Grade 6 to Grade 12</strong> designed to make mathematics your child’s <strong>signature academic strength</strong> — the subject in which they can legitimately compete for <strong>undisputed #1 in their class or year</strong>, while building a smooth runway toward <strong>AP Calculus, AP Statistics, Digital SAT Math, AMC/AIME, and USAMO‑level problem solving</strong>. Rather than chasing short‑term boosts, we design a <strong>multi‑year architecture</strong> where school grades, advanced courses, and contest readiness all reinforce one another.</p>
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<div style="font-weight: 800; margin-bottom: 6px;">Core Philosophy · What This Program Stands For</div>
<p style="margin: 0; opacity: .96;">• Each school year, math is treated as a <strong>non‑negotiable #1 subject</strong> — the subject where we deliberately build a clear margin.<br />• We pursue <strong>early, calm acceleration</strong> in Grades 6–8 so that high school (Grades 9–12) can focus on AP, contests, and STEM depth rather than crisis catching‑up.<br />• The internal goal is simple: when teachers think of your child, they think of <strong>“the student who is genuinely strong in math”</strong>.</p>
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<td style="background: #eafaf4; color: #0f5132; border: 1px solid #cfe9dc; border-radius: 999px; padding: 8px 14px; text-align: center; box-shadow: 0 2px 0 #dbf0e6;">Early Acceleration · Pre‑Algebra → AP Calc/Stats</td>
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<div style="letter-spacing: .14em; text-transform: uppercase; color: #4f46e5; margin-bottom: 4px; font-weight: bold;">1 · Core Vision — Math as Non‑Negotiable #1</div>
<h2 style="margin: 4px 0 10px 0; font-size: 20px; color: #000;">In School, Math Should Be the Clearest Strength</h2>
<p style="margin: 0 0 8px 0;">Mathematics is the <strong>gatekeeper subject</strong> for advanced science, computer science, engineering, quantitative social sciences, and many competitive university programs. It concentrates key external evaluations: <strong>school grades, AP scores, Digital SAT Math, and AMC/AIME/USAMO performance</strong>. For that reason, STARPREP explicitly treats math as a <strong>“non‑negotiable #1”</strong> — the subject where we intentionally build a consistent lead, not just “keep up”.</p>
<p style="margin: 0 0 8px 0;">Our goal is that, on transcripts and in teacher recommendations, math consistently appears as the subject in which the student is <strong>visibly ahead of the curve</strong>: strong classroom performance, top quiz and exam scores, advanced placement into higher‑level tracks, and confidence under exam conditions.</p>

<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">2 · Early, Calm Acceleration — Why We Start in Grades 6–8</div>
<p style="margin: 0 0 6px 0;">When acceleration is postponed until Grade 9 or 10, students often experience <strong>stressful, rushed learning</strong>: shaky foundations, formula memorization without understanding, and unstable test performance. Our model is the opposite. We distribute acceleration across Grades 6–8 so that high school math feels <strong>familiar, steady, and under control</strong>.</p>
<ul style="margin: 0 0 8px 18px; padding: 0;">
<li><strong>G5–6:</strong> Build a complete, fluent <strong>Pre‑Algebra engine</strong></li>
<li><strong>G6–7:</strong> Pre‑Algebra consolidation + early Algebra 1 topics</li>
<li><strong>G7–8:</strong> Full Algebra 1 at depth + preview of key Geometry ideas</li>
<li><strong>G8–9:</strong> Geometry + core Algebra 2 concepts</li>
<li><strong>G9–10:</strong> Algebra 2 + Trigonometry + AP‑level Precalculus topics</li>
<li><strong>G10–11:</strong> AP Calculus / AP Statistics + AMC 10/12 and AIME track</li>
<li><strong>G11–12:</strong> AIME refinement, USAMO‑flavored thinking, and university‑level bridge courses where appropriate</li>
</ul>
<p style="margin: 0 0 8px 0;">By front‑loading conceptual understanding and high‑quality practice early, we free up Grades 10–12 for <strong>strategic differentiation</strong> — more APs, stronger contest portfolios, and deeper STEM exploration.</p>

<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">3 · Three Phases: Foundation · Acceleration · Distinction</div>
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<div style="font-weight: 800; margin-bottom: 6px;">Phase 1 · Foundation (≈ Grades 5–7)</div>
<ul style="margin: 0 0 6px 16px; padding: 0;">
<li>Fractions, ratios, and percent in multi‑step contexts</li>
<li>Equation and inequality language & notation</li>
<li>Early graphing and “function thinking”</li>
</ul>
<div style="color: #4b5563;">Stage goal: a fluent, reliable Pre‑Algebra engine</div>
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<td style="vertical-align: top; background: #eafaf4; border: 1px solid #cfe9dc; border-radius: 12px; padding: 12px;">
<div style="font-weight: 800; margin-bottom: 6px;">Phase 2 · Acceleration (≈ Grades 7–10)</div>
<ul style="margin: 0 0 6px 16px; padding: 0;">
<li>Algebra 1 · Geometry · Algebra 2 · Trigonometry · Precalculus</li>
<li>Complete the full high‑school math sequence early and in depth</li>
</ul>
<div style="color: #4b5563;">Stage goal: high‑school content finished calmly, not rushed</div>
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<div style="font-weight: 800; margin-bottom: 6px;">Phase 3 · Distinction (≈ Grades 10–12)</div>
<ul style="margin: 0 0 6px 16px; padding: 0;">
<li>AP Calculus / AP Statistics, Digital SAT Math, AMC/AIME</li>
<li>Proof‑style thinking and university‑level bridge topics</li>
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<div style="color: #4b5563;">Stage goal: visible differentiation vs. peers and strong STEM readiness</div>
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<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">4 · Why STARPREP’s Structure Is Different</div>
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<li><strong>Outcome‑first design:</strong> We start from concrete outcomes — school ranking, AP performance, Digital SAT, AMC/AIME and higher contests — and <strong>reverse‑engineer the yearly plan</strong>.</li>
<li><strong>Cognitive‑load aware teaching:</strong> Carefully chosen examples, compact notes, and separation of <strong>concept learning</strong> from <strong>speed training</strong> so students do not feel overwhelmed.</li>
<li><strong>Error Taxonomy & Fix‑Rules:</strong> We classify mistakes (concept, translation, algebra, carelessness, time), attach a one‑line “fix rule” to each, and then re‑test with <strong>parallel problems</strong> until the pattern is broken.</li>
<li><strong>Timed Calm & Exam Habits:</strong> We coach “exam behavior” — flag‑and‑return, no sunk‑cost thinking, sign/unit/scale checks, and deliberate pacing so students stay <strong>calm but fast</strong> under time pressure.</li>
<li><strong>School‑aligned and globally connected:</strong> We match the <strong>local school curriculum, textbooks, and test dates</strong>, while at the same time connecting the ideas to AP, Digital SAT, and AMC/AIME style reasoning.</li>
<li><strong>Integrity‑first policy:</strong> No shortcuts that break understanding, no inflated promises. We rely on <strong>clear explanations, consistent practice, and habits</strong> that can be demonstrated on actual exams.</li>
</ul>

<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">5 · Grade‑by‑Grade Roadmap (Early Acceleration Plan)</div>
<p style="margin: 0 0 8px 0;">The roadmap below shows how we move from “solid school math” to “clear long‑term advantage.” High‑school material is completed <strong>earlier, deeper, and more stably</strong>, freeing time for APs, contests, and STEM exploration.</p>

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<div style="font-weight: 800; margin-bottom: 6px;">Grade 6 · Pre‑Algebra Mastery + Early Algebra Thinking</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>Confident operations with fractions, ratios, and percent in multi‑step problems</li>
<li>Translating word problems into simple equations and inequalities</li>
<li>Exposure to coordinate plane, patterns, and early “function language”</li>
</ul>
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<div style="margin: 0 0 10px 0; padding: 12px; border-radius: 12px; background: #f9fafb; border: 1px solid #e6e9ee;">
<div style="font-weight: 800; margin-bottom: 6px;">Grade 7 · Full Algebra 1 (Early, at Depth)</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>Linear equations, inequalities, systems, functions, polynomials, and factoring</li>
<li>Quadratic equations and graphs, with interpretation in real‑world contexts</li>
<li>First taste of AMC‑style reasoning for strong students (e.g., AMC 8/10 entry)</li>
</ul>
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<div style="margin: 0 0 10px 0; padding: 12px; border-radius: 12px; background: #f9fafb; border: 1px solid #e6e9ee;">
<div style="font-weight: 800; margin-bottom: 6px;">Grade 8 · Geometry + Algebra 2 Preview</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>Lines, angles, triangles, congruence, similarity, and key proof patterns</li>
<li>Circles, area, volume, and coordinate geometry applications</li>
<li>Review of quadratics; introduction to complex numbers and exponential functions</li>
</ul>
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<div style="margin: 0 0 10px 0; padding: 12px; border-radius: 12px; background: #f9fafb; border: 1px solid #e6e9ee;">
<div style="font-weight: 800; margin-bottom: 6px;">Grade 9 · Algebra 2 + Core Trigonometry</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>Polynomials, complex numbers, rational, exponential, and logarithmic functions</li>
<li>Right‑triangle trigonometry, unit circle basics, and introductory trig graphs</li>
<li>Connecting Algebra 2 ideas to Digital SAT and AMC 10‑style problems</li>
</ul>
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<div style="margin: 0 0 10px 0; padding: 12px; border-radius: 12px; background: #f9fafb; border: 1px solid #e6e9ee;">
<div style="font-weight: 800; margin-bottom: 6px;">Grade 10 · AP‑Level Precalculus</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>Function families, transformations, inverses, compositions, and modeling</li>
<li>Advanced trig, identities, equations, and periodic models</li>
<li>Preparation for AP Precalculus and a smooth transition into AP Calculus</li>
</ul>
</div>
<div style="margin: 0 0 10px 0; padding: 12px; border-radius: 12px; background: #f9fafb; border: 1px solid #e6e9ee;">
<div style="font-weight: 800; margin-bottom: 6px;">Grade 11 · AP Calculus AB/BC, AP Statistics, AIME Track</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>AP Calculus AB/BC with strong FRQ justification habits and clear conceptual understanding</li>
<li>AP Statistics as a bridge from data to inference and real‑world interpretation</li>
<li>AMC 10/12 refinement and AIME‑level problem‑solving for students on the contest track</li>
</ul>
</div>
<div style="margin: 0 0 12px 0; padding: 12px; border-radius: 12px; background: #f9fafb; border: 1px solid #e6e9ee;">
<div style="font-weight: 800; margin-bottom: 6px;">Grade 12 · USAMO‑Level Taste & University Bridge</div>
<ul style="margin: 0 0 0 18px; padding: 0;">
<li>AIME score refinement and, where appropriate, introductory USAMO‑style problems</li>
<li>Bridge topics in Linear Algebra, Multivariable Calculus, and Discrete Math for STEM‑bound seniors</li>
<li>Support for transition into university‑level courses and placement exams</li>
</ul>
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<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">6 · AMC & AIME — Clear English Overview</div>
<p style="margin: 0 0 6px 0;">For families aiming beyond school mathematics and AP, the American Mathematics Competitions (AMC) and the American Invitational Mathematics Examination (AIME) provide a globally recognized pathway into more advanced problem solving and, potentially, Olympiad‑level opportunities.</p>
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<div style="font-weight: 800; margin-bottom: 4px; color: #0e39a1;">AMC (American Mathematics Competitions)</div>
<ul style="margin: 0; padding: 0 0 0 18px;">
<li><strong>Levels:</strong> AMC 8 (middle school), AMC 10 (up to Grade 10), AMC 12 (up to Grade 12)</li>
<li><strong>Format:</strong> Multiple‑choice contests; AMC 8 is shorter and fast‑paced, AMC 10/12 are longer and more advanced</li>
<li><strong>Domains:</strong> Algebra, geometry, number theory, counting & probability, logical reasoning, and creative problem solving</li>
<li><strong>Role:</strong> Strong scores on AMC 10/12 can qualify students to sit for the <strong>AIME</strong></li>
</ul>
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<div style="padding: 12px; border: 1px solid #eef0f4; border-radius: 10px; background: #f9fafb;">
<div style="font-weight: 800; margin-bottom: 4px; color: #0e39a1;">AIME (American Invitational Mathematics Examination)</div>
<ul style="margin: 0; padding: 0 0 0 18px;">
<li><strong>Eligibility:</strong> Invitation‑only, based on performance on the AMC 10 or AMC 12 in a given year</li>
<li><strong>Format:</strong> 15 problems, each requiring multi‑step reasoning; answers are three‑digit integers <code>000–999</code></li>
<li><strong>Role:</strong> AMC and AIME scores together are used to determine invitations to higher‑level Olympiad stages</li>
</ul>
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<p style="margin: 8px 0 0 0; color: #6b7280; font-size: 13px;">Note: Dates, cutoffs, and registration policies are set each year by the contest organizers. Families should always check the latest official information when planning their contest timeline.</p>

<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">7 · Who Is This Program Designed For?</div>
<ul style="margin: 0 0 12px 18px; padding: 0;">
<li><strong>Students who want core excellence:</strong> those who want math to feel “easy” at school because they are learning ahead of pace with deeper understanding and consistent high scores.</li>
<li><strong>Honors/AP track students:</strong> students aiming to finish the full high‑school math sequence early, take multiple AP math courses, and maintain strong GPAs across their transcript.</li>
<li><strong>Ambitious STEM and contest students:</strong> students targeting competitive STEM majors, top‑tier universities, or meaningful performance on <strong>Digital SAT Math, AMC, AIME, and beyond</strong>.</li>
</ul>

<div style="font-weight: bold; margin: 18px 0 4px; color: #000;">8 · What Parents Typically Notice Over Time</div>
<p style="margin: 0;"><strong>Within a few weeks:</strong> neater notes, clearer written solutions, fewer small mistakes, and improved quiz scores.<br /><strong>Within one semester:</strong> higher confidence, more active participation in class, and a noticeable drop in homework stress even as the material becomes more advanced.<br /><strong>Over 1–3 years:</strong> math emerges as the <strong>most reliable subject</strong> on the report card — the one that teachers cite as a particular strength and that supports honors/AP placements and STEM ambitions.</p>
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<h2 style="margin: 0 0 8px 0; font-size: 22px;">Course Map <span style="font-size: 13px; color: #5d6b89;">Program Overview</span></h2>
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<th style="text-align: left; padding: 12px 14px; border-bottom: 1px solid #e6e9ee;">Course</th>
<th style="text-align: left; padding: 12px 14px; border-bottom: 1px solid #e6e9ee;">Key Topics (aligned to school pacing)</th>
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<div style="font-weight: 800;">Pre‑Algebra</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/cwNZSbAet3csfhPMA" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Integers, fractions, and decimals: operations and order of operations</li>
<li>Factors, multiples, ratios, proportions, and percent</li>
<li>Basic equations and inequalities; exponents and roots</li>
<li>Coordinate plane, simple graphs, and word‑modeling</li>
</ul>
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<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">Algebra 1</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/aMqPBXbfAU1d557L9" target="_blank" rel="noopener">Register</a></div>
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<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Linear equations and inequalities; slope, graphs, and intercepts</li>
<li>Systems of equations (substitution and elimination)</li>
<li>Functions, polynomials, and factoring</li>
<li>Exponent laws; exponential and quadratic models</li>
</ul>
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<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">Geometry</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/HNhDGzVEa5jNhfn49" target="_blank" rel="noopener">Register</a></div>
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<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Lines, angles, and proofs; triangle congruence and similarity</li>
<li>Quadrilaterals, polygons, and circles (arcs, chords, tangents)</li>
<li>Coordinate geometry; surface area, volume, and 3D figures</li>
<li>Introductory trigonometric ratios and applications</li>
</ul>
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<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">Algebra 2</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/4erySzjpmG26zReB6" target="_blank" rel="noopener">Register</a></div>
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<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Advanced linear and quadratic functions; complex numbers; polynomials</li>
<li>Rational, exponential, and logarithmic functions</li>
<li>Sequences and series; introduction to probability and statistics</li>
<li>Conic sections; more advanced trigonometry</li>
</ul>
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<div style="font-weight: 800;">Trigonometry</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/q6MUEZ2fBdobkFiE7" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Unit circle and radians; graphs of trig functions and identities</li>
<li>Trigonometric equations; laws of sines and cosines</li>
<li>Triangle applications and periodic modeling</li>
</ul>
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<div style="font-weight: 800;">AP Precalculus</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/xzLPhQ6N3Xfr5yWo8" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Function families, transformations, inverses, compositions, and modeling with rates</li>
<li>Polynomial, rational, exponential, and logarithmic models; domain, range, and asymptotes</li>
<li>Trigonometry plus polar and parametric representations; real‑context applications</li>
<li>Finite sequences, binomial expressions, and the difference quotient as a bridge to calculus</li>
</ul>
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<div style="font-weight: 800;">AP Calculus AB</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/JMRh6bdKZbhd9a4s9" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Limits and continuity; derivatives (including implicit); MVT, IVT, and EVT</li>
<li>Motion, related rates, optimization, and curve analysis</li>
<li>Integrals (Riemann sums, FTC, u‑substitution); accumulation and average value</li>
<li>Differential equations, area/volume, and FRQ justification with correct units</li>
</ul>
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<div style="font-weight: 800;">AP Calculus BC</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/voNZ1h2SqqzXKxb78" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Parametric and polar calculus; arc length and area</li>
<li>Integration by parts, partial fractions, improper integrals; logistic models and Euler’s method</li>
<li>Series convergence tests; power and Taylor series; error bounds</li>
<li>FRQ craftsmanship: naming conditions, convergence, and index shifts clearly</li>
</ul>
</td>
</tr>
<tr style="background: #ffffff;">
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">AP Statistics</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/zMZXhxGuAcvRVuzD7" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Exploring and collecting data; regression, residuals, and model interpretation</li>
<li>Sampling methods, experimental design, bias, and random assignment</li>
<li>Probability and random variables; binomial/geometric distributions; Normal models</li>
<li>Inference: z and t procedures, chi‑square, and inference for regression</li>
</ul>
</td>
</tr>

<tr style="background: #fcfdff;">
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">AMC 8</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/xzBXMWJbRmdmbV6B8" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Number sense, ratios, percent, and introductory number theory</li>
<li>Counting and probability; contest‑style geometry and logical puzzles</li>
<li>25‑question multiple‑choice pacing; careful reading and elimination strategies</li>
</ul>
</td>
</tr>
<tr style="background: #ffffff;">
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">AMC 10</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/GfWWdzMuX2xspi1R7" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Algebra, geometry, counting, and number theory at early high‑school level</li>
<li>Heuristics such as working backward, invariants, and extreme‑case reasoning</li>
<li>Penalty‑aware question selection and AIME score planning</li>
</ul>
</td>
</tr>
<tr style="background: #fcfdff;">
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div style="font-weight: 800;">AMC 12</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/Rgk2PsWNnJGPKJoLA" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<ul style="margin: 0; padding-left: 18px;">
<li>Algebra 2, advanced geometry, trigonometry, inequalities, sequences and series</li>
<li>Elegant solutions vs. brute force; recognizing standard forms and transformations</li>
<li>Refined pacing and triage; planning around AIME qualification thresholds</li>
</ul>
</td>
</tr>
<tr style="background: #ffffff;">
<td style="padding: 12px 14px;">
<div style="font-weight: 800;">AIME</div>
<div style="margin-top: 8px;"><a style="display: inline-block; padding: 8px 12px; background: #0e39a1; color: #fff; border-radius: 8px; text-decoration: none; font-weight: 800; box-shadow: 0 2px 0 #0a2a74;" href="https://forms.gle/iDXs6J8SBzhk1kAP7" target="_blank" rel="noopener">Register</a></div>
</td>
<td style="padding: 12px 14px;">
<ul style="margin: 0; padding-left: 18px;">
<li>Algebra, combinatorics, number theory, and geometry with integer responses (000–999)</li>
<li>Multi‑step reasoning, structured casework, bounding, and clever substitutions</li>
<li>Bridge toward proof‑flavored thinking and readiness for USAMO‑level challenges</li>
</ul>
</td>
</tr>
</tbody>
</table>
</div>
<p style="margin: 8px 2px 0 2px; color: #5c6773; font-size: 13px;">Note: Scope and textbooks vary by school and region. We adapt the sequence and emphasis to match each student’s current school curriculum and exam calendar.</p>
</div>

<div style="margin-top: 16px;">
<h2 style="margin: 0 0 8px 0; font-size: 22px;">Detailed Curriculum Map <span style="font-size: 13px; color: #5d6b89;">Concepts · Pitfalls · Habits</span></h2>
<div style="overflow: auto; border: 1px solid #e6e9ee; border-radius: 12px; background: #fff; box-shadow: 0 6px 16px rgba(15,23,42,.05);">
<table style="width: 100%; border-collapse: collapse;">
<thead>
<tr style="background: #edf2ff;">
<th style="text-align: left; padding: 12px 14px; border-bottom: 1px solid #e6e9ee;">Course</th>
<th style="text-align: left; padding: 12px 14px; border-bottom: 1px solid #e6e9ee;">Concepts · Pitfalls · Habits (school‑aligned)</th>
</tr>
</thead>
<tbody>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>Pre‑Algebra</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> integer/fraction/decimal operations; ratios, proportions, and percent; equations/inequalities; exponents and roots; basic graphing.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> sign and decimal slips; unit confusion; misreading multi‑step word problems.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> ratio tables; unit “sanity checks”; bar models and sketches before calculation.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>Algebra 1</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> linear families; systems; functions; factoring; quadratics; exponent laws; exponential models.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> distributing negatives incorrectly; mixing up slope signs; confusing vertex and intercepts.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> think “form → features”; check intercepts and slopes; quick sketches before heavy algebra.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>Geometry</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> logical proofs; similarity; circles; solids; right‑triangle trigonometry.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> trusting “not‑to‑scale” diagrams; misusing ratios; missing 3D unit conversions.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> fully annotate givens; build ratio ladders; write units first, then numbers.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>Algebra 2</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> polynomial division; complex numbers; rational, exponential, and logarithmic functions; sequences/series; conics; advanced trig.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> confusing holes and asymptotes; misapplying log laws; incorrect inverses.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> behavior tables; checking inverses via composition; graph first, then algebra.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>Trigonometry</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> unit circle; graphs of trig functions; identities; equations; periodic models.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> degree↔radian confusion; SSA ambiguity; ignoring domain restrictions.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> use reference triangles; always write general solutions; label amplitude/period/phase explicitly.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AP Precalculus</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> function families and transformations; inverses and compositions; modeling; trig/polar/parametric representations; finite sequences; binomial and difference quotient.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> domain errors for inverses; misunderstanding asymptotes; confusion with polar conventions.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> sketch “graph skeletons”; check domain and range first; convert between equivalent forms.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AP Calculus AB</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> limits and continuity; derivatives; theorems; motion; related rates; optimization; Riemann sums; FTC; u‑substitution; accumulation functions; differential equations; areas and volumes.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> forgetting conditions; dropping the “+C”; mismatching units or bounds.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> state hypotheses; label units; justify with words and math together.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AP Calculus BC</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> parametric/polar calculus; advanced integration (IBP, partial fractions, improper); logistic models; Euler’s method; series tests; power/Taylor series; error estimation.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> choosing the wrong convergence test; confusing conditional vs. absolute convergence; mishandling index shifts.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> always name the test and reason; write interval/radius of convergence; switch comfortably between parametric/polar and Car-tesian views.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AP Statistics</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> exploring and collecting data; probability and random variables; inference (z/t, chi‑square, regression).</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> “correlation = causation” errors; skipping conditions; mixing up parameters and statistics; misinterpreting p‑values.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> always state the parameter and conditions; interpret results with context and units; name tests explicitly and explain why they are appropriate.</div>
</td>
</tr>

<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AMC 8</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> arithmetic, ratios, basic counting, number theory, and contest‑style geometry.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> underestimating “easy‑looking” problems; misreading multi‑step prompts.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> draw diagrams first; test small numbers; perform a quick reasonableness check before bubbling.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AMC 10</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> algebra, geometry, counting, number theory, inequalities, functional thinking.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> over‑using heavy algebra instead of structure; spending too long on one problem; ignoring penalty scoring.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> classify problems as easy/medium/hard; protect a solid baseline score; use bounding and estimation aggressively.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;"><strong>AMC 12</strong></td>
<td style="padding: 12px 14px; border-bottom: 1px solid #f0f3f6;">
<div><strong>Concepts:</strong> full high‑school contest syllabus (Algebra II, advanced geometry, trigonometry, sequences/series, complex numbers).</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> brute‑force approaches; missing symmetry or invariants; mishandling edge cases.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> search for substitutions, symmetry, and invariants; set up clean coordinate frames; manage AIME index positioning strategically.</div>
</td>
</tr>
<tr>
<td style="padding: 12px 14px;"><strong>AIME</strong></td>
<td style="padding: 12px 14px;">
<div><strong>Concepts:</strong> olympiad‑flavored algebra, combinatorics, number theory, and geometry with 0–999 integer answers.</div>
<div style="margin-top: 6px;"><strong>Pitfalls:</strong> uncontrolled algebra explosions; unstructured casework; arithmetic errors after long chains of reasoning.</div>
<div style="margin-top: 6px;"><strong>Habits:</strong> line‑by‑line organization; always seek alternative perspectives; use the “integer answer” structure to check and refine solutions.</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>

<div style="margin-top: 18px; padding: 16px; border-radius: 12px; background: #f5f8ff; border: 1px solid #dbe6ff; box-shadow: 0 4px 14px rgba(10,31,68,.05);">
<h2 style="margin: 0 0 10px 0; font-size: 18px;">Registration & Contact <span style="font-size: 13px; color: #5d6b89;">How to Get Started</span></h2>

<div style="background: #0e39a1; border: 1px solid #0e39a1; border-radius: 12px; padding: 12px 14px; box-shadow: 0 6px 0 #0a2a74; margin-bottom: 12px;"><a style="color: #fff; text-decoration: none; font-weight: 800;" href="http://qr.kakao.com/talk/yQ9ZQRzV_DWgV4_5vM3RSv7vdEw-" target="_blank" rel="noopener"> Start Your 1:1 School Math Consultation (KakaoTalk) </a></div>

<div style="background: #ffeb00; border: 1px solid #e6c400; border-radius: 12px; padding: 14px 16px; box-shadow: 0 6px 0 #e0cf00; margin-bottom: 12px; color: #1f2937;">
<div style="font-weight: 900; margin-bottom: 4px;"><a style="color: #111; text-decoration: none; font-weight: 900;" href="http://qr.kakao.com/talk/yQ9ZQRzV_DWgV4_5vM3RSv7vdEw-" target="_blank" rel="noopener"> KakaoTalk 24/7 Instant Consultation (ID: starprep) </a></div>
Get fast, detailed advice on school math, early acceleration, AP/contest planning, current level diagnosis, and a multi‑year roadmap — all in a 1:1 KakaoTalk chat.<br />Friend‑add ID: <strong>starprep</strong><br />Direct chat link: <a style="color: #1d4ed8; text-decoration: none; font-weight: 600;" href="http://qr.kakao.com/talk/yQ9ZQRzV_DWgV4_5vM3RSv7vdEw-" target="_blank" rel="noopener"> http://qr.kakao.com/talk/yQ9ZQRzV_DWgV4_5vM3RSv7vdEw- </a></div>

<div style="margin: 0 0 10px 0; padding: 12px; border: 1px solid #e6e9ee; border-radius: 12px; background: #fff;">
<h3 style="margin: 0 0 6px 0; font-size: 16px;">Kakao Channel · WeChat · E‑mail</h3>
<p style="margin: 0 0 6px 0;"><strong>Kakao Channel (STARPREP Language Institute)</strong><br />• <a style="color: #0e39a1; text-decoration: none;" href="http://pf.kakao.com/_IPXxan" target="_blank" rel="noopener">http://pf.kakao.com/_IPXxan</a></p>
<p style="margin: 0 0 6px 0;"><strong>WeChat</strong><br />• ID: <span style="color: #0e39a1;">starprepseoul</span></p>
<p style="margin: 0;"><strong>E‑mail</strong><br />• <a style="color: #0e39a1; text-decoration: none;" href="mailto:starprep@starprep.co.kr">starprep@starprep.co.kr</a> (24/7 · English / Korean / Chinese support)</p>
</div>

<div style="margin: 0 0 10px 0; padding: 12px; border: 1px dashed #c9d6ff; border-radius: 12px; background: #fff;">
<h3 style="margin: 0 0 6px 0; font-size: 16px;">Visit Reservation <span style="font-size: 13px; color: #5d6b89;">In‑Person Consultation</span></h3>
<div style="background: #0e39a1; border: 1px solid #0e39a1; border-radius: 10px; padding: 10px 12px; box-shadow: 0 4px 0 #0a2a74; margin-bottom: 8px;"><a style="color: #fff; text-decoration: none; font-weight: bold;" href="https://calendar.google.com/calendar/u/0/appointments/schedules/AcZssZ3YSbEGS_9mAhfb8cVBKwJ3uwJbSZ4DX3Cbj6-GgvNYDwnXZ5OMHLPBv20CpVffaDTseNxslfeC" target="_blank" rel="noopener"> Click here to book your visit (Google Scheduler) </a></div>
<p style="margin: 0 0 4px 0;">When you book in advance, you can receive a <strong>dedicated 1:1 consultation</strong> focused on your child’s grade, school, and goals (top of class, AP, contests, overseas universities) without waiting at the front desk.</p>
<p style="margin: 0;">Scheduling options:<br />• <a style="color: #0e39a1;" href="https://calendar.google.com/calendar/u/0/appointments/schedules/AcZssZ3YSbEGS_9mAhfb8cVBKwJ3uwJbSZ4DX3Cbj6-GgvNYDwnXZ5OMHLPBv20CpVffaDTseNxslfeC" target="_blank" rel="noopener">Google Scheduler</a><br />• <a style="color: #0e39a1;" href="https://calendly.com/starprep_visit/visit" target="_blank" rel="noopener">Calendly (STARPREP Visit)</a></p>
</div>

<div style="padding: 12px; border: 1px solid #e6e9ee; border-radius: 12px; background: #fff;">
<h3 style="margin: 0 0 6px 0; font-size: 16px;">Phone & Front Desk (KST)</h3>
<p style="margin: 0 0 6px 0;"><strong>Phone:</strong> <a style="color: #0e39a1; text-decoration: none;" href="tel:+82226549837">+82‑2‑2654‑9837</a></p>
<h4 style="margin: 6px 0 4px 0; font-size: 14px;">In‑Person / Phone Consultation Hours (KST)</h4>
<p style="margin: 0; color: #374151;">Weekdays: 10:00–19:00 (hours may be extended during exam seasons)<br />Weekends: By reservation only</p>
</div>
</div>
</div></p>

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